Of abstract algebra handouts (Volume 3)

by Nathan Jacobson

Paperback. Pub December 2000 217 in World Publishing Company The present volume completes the series of texts on algea which the author began more than ten years ago. The account of the field theory and over Galois theory which not we set him free here is based on the notions and results of general algea which appear in our first volume and on the more elementary parts of the second volume. dealing with linear algea. The level of the present work is roughly the same as that of Volume II. INTRODUCTIONSECTION1. Extension of homomorphisms2. Algeas3. Tensor products of vector spaces4. Tensor product of algeasCHAPTER I oFINITE DIMENSIONAL EXTENSION FIELDS1. Some vector spaces associated with mappings of fields2. The Jacobson-Bourbaki correspondence3. Dedekind independence theorem for isomorphisms of a field4. Finite groups of automorphisms5. Spli...

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Published January 1, 2000